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11212310231200 = 2552133034135533
BaseRepresentation
bin1010001100101001000111…
…0001001011100010100000
31110200212221011210220100201
42203022101301023202200
52432200302404344300
635502510400354544
72235030333315241
oct243122161134240
943625834726321
1011212310231200
113633128904001
121311030015a54
13634415c486b0
142aa97054ccc8
151469d072e66a
hexa3291c4b8a0

11212310231200 has 144 divisors (see below), whose sum is σ = 29479395994776. Its totient is φ = 4139676979200.

The previous prime is 11212310231189. The next prime is 11212310231251. The reversal of 11212310231200 is 213201321211.

It can be written as a sum of positive squares in 12 ways, for example, as 1800888848784 + 9411421382416 = 1341972^2 + 3067804^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315528634 + ... + 315564166.

Almost surely, 211212310231200 is an apocalyptic number.

11212310231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212310231200 is an abundant number, since it is smaller than the sum of its proper divisors (18267085763576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11212310231200 is a wasteful number, since it uses less digits than its factorization.

11212310231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65907 (or 65894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11212310231200 its reverse (213201321211), we get a palindrome (11425511552411).

The spelling of 11212310231200 in words is "eleven trillion, two hundred twelve billion, three hundred ten million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 30341 35533 60682 71066 121364 142132 151705 177665 242728 284264 303410 355330 394433 461929 485456 568528 606820 710660 758525 788866 888325 923858 970912 1137056 1213640 1421320 1517050 1577732 1776650 1847716 1972165 2309645 2427280 2842640 3034100 3155464 3553300 3695432 3944330 4619290 4854560 5685280 6068200 6310928 7106600 7390864 7888660 9238580 9860825 11548225 12136400 12621856 14213200 14781728 15777320 18477160 19721650 23096450 24272800 28426400 31554640 36954320 39443300 46192900 63109280 73908640 78886600 92385800 157773200 184771600 315546400 369543200 1078106753 2156213506 4312427012 5390533765 8624854024 10781067530 14015387789 17249708048 21562135060 26952668825 28030775578 34499416096 43124270120 53905337650 56061551156 70076938945 86248540240 107810675300 112123102312 140153877890 172497080480 215621350600 224246204624 280307755780 350384694725 431242701200 448492409248 560615511560 700769389450 862485402400 1121231023120 1401538778900 2242462046240 2803077557800 5606155115600 11212310231200